274939981458912 has 1920 divisors, whose sum is σ = 1078486127566848. Its totient is φ = 66590802432000.

The previous prime is 274939981458911. The next prime is 274939981459043. The reversal of 274939981458912 is 219854189939472.

274939981458912 is a `hidden beast` number, since 2 + 7 + 4 + 9 + 3 + 9 + 9 + 8 + 14 + 589 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274939981458911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 138369390783 + ... + 138369392769.

Almost surely, 2^{274939981458912} is an apocalyptic number.

274939981458912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274939981458912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539243063783424).

274939981458912 is an abundant number, since it is smaller than the sum of its proper divisors (803546146107936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

274939981458912 is a wasteful number, since it uses less digits than its factorization.

274939981458912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2777 counting only the distinct ones).

The product of its digits is 2821754880, while the sum is 81.

The spelling of 274939981458912 in words is "two hundred seventy-four trillion, nine hundred thirty-nine billion, nine hundred eighty-one million, four hundred fifty-eight thousand, nine hundred twelve".